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This paper describes an application of the metaheuristic differential evolution in the drive of three-phase induction motors based on direct torque control and employs a Luenberger observer to estimate the stator flux linkage and rotor speed. In this context, the differential evolution is applied to adjust the gains of the controllers involved in the direct torque control and speed observer estimation loop, as well as the observer matrix. Firstly a proportional-integral controller with anti-windup is considered in speed control loop, whose gains are adjusted empirically and optimally by DE. Furthermore, differential evolution is also considered for optimizing the Luenberger observer parameters for stator current and flux, as well as rotor speed estimation. Simulation tests are presented in order to prove the effectiveness of the proposed method.

Summary A robust adaptive parameter estimation method, based on the application of a full‐order filter capable of rejecting exogenous disturbances, is proposed in this article. A linear matrix inequality condition is proposed to synthesize the desired robust filter, assuming the presence of a known input control with constraints. The filter uses the output of the system to estimate the desired signal that will be employed in the adaptive estimation procedure and, to assure robustness to exogenous noise and unstructured uncertainties, the ℋ∞ guaranteed cost is minimized in the synthesis condition. The filtered signals are then applied to an adaptive procedure to estimate the unknown system's internal parameters, which is also proposed in this article. It is shown that lower values for the ℋ∞ guaranteed cost from the disturbance input to the error output of the filter imply more accurate estimations of the parameters. The efficiency of the proposed estimation technique is illustrated through a simulated model and a physical system has been considered to validate real‐time estimation.